12.FM30.1 Demonstrate understanding of financial decision making including analysis of:
12.FM30.1.1 renting, leasing, and buying
12.FM30.1.3 compound interest
12.FM30.1.4 investment portfolios.
12.FM30.1.a Compare the advantages and disadvantages of simple interest and compound interest.
12.FM30.1.b Identify and describe situations that involve compound interest.
12.FM30.1.c Graph and compare the total interest paid or earned over different compounding periods for the same annual interest rate, principal, and time.
12.FM30.1.d Develop, generalize, explain, and apply strategies for determining the total interest to be paid on a loan given the principal, interest rate, and number of compounding periods for the loan.
12.FM30.1.e Determine, using technology, the total cost of a loan under a variety of conditions (e.g., different amortization periods, interest rates, compounding periods, and terms).
12.FM30.1.f Solve contextual problems that involve compound interest.
12.FM30.1.g Analyze, using technology, different credit options that involve compound interest, including bank and store credit cards and special promotions, and provide justifications for the credit option.
12.FM30.1.h Identify and describe examples of assets that appreciate or depreciate relevant to one's self, family, and community.
12.FM30.1.i Compare renting, leasing, and buying of large cost items and generate reasons for considering each choice.
12.FM30.1.j Solve situational questions related to the costs of renting, leasing, and buying (including questions that require formula manipulation).
12.FM30.1.k Solve, using technology, situational questions that involve costand- benefit analysis.
12.FM30.1.l Analyze the strengths and weaknesses of two or more investment portfolios, and make recommendations for selection based upon this analysis.
12.FM30.1.m Determine, using technology, the total value of an investment when there are regular contributions to the principal.
12.FM30.1.n Graph and compare the total value of an investment with and without regular contributions.
12.FM30.1.o Apply the Rule of 72 to solve investment problems and explain the limitations of the rule.
12.FM30.1.p Investigate and report possible investment strategies that could be used to achieve a financial goal.
12.FM30.1.q Compare the advantages and disadvantages of long-term and short-term investment options.
12.FM30.1.r Investigate and compare small investments over a long term and larger investments over a shorter term.
12.FM30.2 Demonstrate understanding of inductive and deductive reasoning including:
12.FM30.2.i Solve situational questions, using a graphic organizer such as a truth table or Venn diagram, that involve logical arguments based upon biconditional, converse, inverse, or contrapositive statements.
12.FM30.3 Demonstrate understanding of set theory and its applications.
12.FM30.3.a Provide and describe examples, relevant to one's self, family, and community, of empty set, disjoint sets, subsets, and universal sets.
12.FM30.3.b Create graphic organizers such as Venn diagrams to display relationships within collected data or sets of numbers.
12.FM30.3.c Name a specific region in a Venn diagram using the Boolean operators (or, and, not) or set notation, and explain in words what that region represents with respect to a specific situation.
12.FM30.3.d Develop, generalize, and apply strategies for determining the elements in the complement, the intersection, or the union of sets.
12.FM30.3.e Identify situations in which set theory is used and explain the role of set theory in each situation. (e.g., specific Internet searches, database queries, data analysis, games, and puzzles)
12.FM30.3.f Solve situational questions that involve sets, including analysis of solutions for errors, using set notation where appropriate.
12.FM30.4 Extend understanding of odds and probability.
12.FM30.4.a Provide and explain the meaning of statements of probability and odds relevant to one's self, family, and community (e.g., statements of probability found in media, science, medicine, sports, sociology, and psychology).
12.FM30.4.b Explain, using examples, the relationship between odds (part-part) and probability (part-whole).
12.FM30.4.c Express odds as a probability and vice versa.
12.FM30.4.d Determine the probability of, or the odds for and against, an outcome in a situation.
12.FM30.6.l Explain, using examples, why order is or is not important when counting arrangements.
12.FM30.6.m Identify examples relevant to one's self, family, and community where the number of possible arrangements would be of interest to explain why the order within any particular arrangement does or does not matter.
12.FM30.6.n Develop, generalize, explain, and apply strategies for determining the number of combinations of n elements taken r at a time.
12.FM30.7.l Interpret graphs of polynomial, logarithmic, exponential, and sinusoidal functions to describe the situations that each function models and explain the reasoning.
12.FM30.7.m Solve, using technology, situational questions that involve data that is best represented by graphs of polynomial, exponential, logarithmic, or sinusoidal functions and explain the reasoning.
12.FM30.8 Research and give a presentation of a current event or an area of interest that requires data collection and analysis.
12.FM30.8.a Develop a rubric or other scoring schema to assess the research and presentation.
12.FM30.8.b Collect primary or secondary data (quantitative or qualitative) related to the topic.
12.FM30.8.c Assess the accuracy, reliability, and relevance of the collected primary or secondary data (quantitative/qualitative) by:
12.FM30.8.c.1 identifying examples of bias and points of view